Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point
with slope m, then the point slope form of the line is

(2, 4) and (3, 3) are on the line. So, slope of the line is




The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

Therefore, an equation of the line in point slope form is
.
Of I don’t know sorry about that
Answer:
It should be A
Step-by-step explanation:
Because there are 4 sides and if you multiply 16x4 that will give you 64
it simple good luck :)
Answer:
-x + 4
Step-by-step explanation:
(4x+5)+(−5x−1)
4x+5−5x−1 [Remove the parentheses]
-x + 4 [Combine Like Terms]
Answer:
11. (x, y) -> (7, -3)
14. (x, y) -> (-3, -2)
15. (x, y) -> (-3, 2)
16. (x, y) -> (7,6)
20.(x, y) -> (4, 1)
Step-by-step explanation:
11.
x + 3y = 1
-3x -3y = -15
-2x = -14
/-2 /-2
x = 7
x + 3y = 1
7 + 3y = 1
-7 -7
3y = -6
/3 /3
y = -2
(x, y) -> (7, -3)
14.
-3x + 3y = 3
-5x + y = 13
-5x + y = 13
+5x +5x
y = 5x + 13
-3x + 3(5x + 13) = 3
-3x + 15x + 39 = 3
12x + 39 = 3
- 39 -39
12x = -36
/12 /12
x = -3
Now, we solve for y:
-5x + y = 13
-5(-3) + y = 13
15 + y = 13
-15 -15
y = -2
(x, y) -> (-3, -2)
15.
6x + 6y = -6
5x + y = -13
5x + y = -13
-5x -5x
y = -5x - 13
6x + 6y = -6
6x + 6(-5x - 13) = -6
6x -30x - 78 = -6
-24x - 78 = -6
+ 78 + 78
-24x = 72
/-24 /-24
x = -3
Now, we solve for y:
6x + 6y = -6
6x + 6y = -6
6(-3) + 6y = -6
-18 + 6y = -6
+18 +18
6y = 12
/6 /6
y = 2
(x, y) -> (-3, 2)
16.
2x + y = 20
6x - 5y = 12
2x + y = 20
-2x -2x
y = -2x + 20
6x - 5y = 12
6x - 5(-2x + 20) = 12
6x + 10x - 100 = 12
16x - 100 = 12
+ 100 +100
16x = 112
/16 /16
x = 7
Now, we solve for y:
2x + y = 20
2(7) + y = 20
14 + y = 20
-14 -14
y = 6
(x, y) -> (7,6)
20.
-2x - y = -9
5x - 2y = 18
-2x - y = -9
+2x +2x
-y = 2x - 9
/-1 /-1
y = -2x + 9
5x -2y = 18
5x - 2(-2x + 9) = 18
5x + 4x - 18 = 18
9x - 18 = 18
+ 18 + 18
9x = 36
/9 /9
x = 4
Now, we solve for y:
-2(4) - y = -9
-8 - y = -9
+ 8 +8
-y = -1
/-1 /-1
y = 1
(x, y) -> (4, 1)
Hope this helps!